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Finding the Fourth Proportional to 165,014.36, 227,823 and 113,420.42

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Solution

The fourth proportional to 165,014.36, 227,823 and 113,420.42 is: 156,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,014.36 : 227,823 = 113,420.42 : x
  2. Step 2: Convert to fraction form
    165,014.36/227,823 = 113,420.42/x
  3. Step 3: Cross multiply
    165,014.36x = 227,823 × 113,420.42
  4. Step 4: Simplify right side
    165,014.36x = 25,839,780,345.66
  5. Step 5: Solve for x
    x = 25,839,780,345.66/165,014.36
  6. Step 6: Final answer
    x = 156,591.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.